Consider the series Determine the least integer for which the absolute error of the…

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Consider the series

\displaystyle \sum_{n=1}^{\infty} (-1)^{n}\dfrac{n}{3^{\,n}}.

Determine the least integer

N

for which the absolute error of the

N

-term partial sum is below

10^{-4}